{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "50fe44af-07a7-49b5-8233-f03decbddaee",
   "metadata": {},
   "source": [
    "# 线性回归 Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3b65c151-5436-408d-afcd-485b46022a97",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "data = pd.read_csv(\"Salary_Data.csv\")\n",
    "# y = w*x + b\n",
    "x = data[\"YearsExperience\"]\n",
    "y = data[\"Salary\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9c37a973-c1c3-4aea-b13b-535a6f6920b4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 33 entries, 0 to 32\n",
      "Data columns (total 2 columns):\n",
      " #   Column           Non-Null Count  Dtype  \n",
      "---  ------           --------------  -----  \n",
      " 0   YearsExperience  33 non-null     float64\n",
      " 1   Salary           33 non-null     float64\n",
      "dtypes: float64(2)\n",
      "memory usage: 656.0 bytes\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8f4680b9-e82e-4b55-bfb2-461ec54300ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>YearsExperience</th>\n",
       "      <th>Salary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>33.000000</td>\n",
       "      <td>33.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>4.881818</td>\n",
       "      <td>18.137879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>3.036904</td>\n",
       "      <td>7.076154</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.300000</td>\n",
       "      <td>9.050000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2.900000</td>\n",
       "      <td>13.600000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>4.100000</td>\n",
       "      <td>15.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>7.100000</td>\n",
       "      <td>24.550000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>10.500000</td>\n",
       "      <td>30.575000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       YearsExperience     Salary\n",
       "count        33.000000  33.000000\n",
       "mean          4.881818  18.137879\n",
       "std           3.036904   7.076154\n",
       "min           0.300000   9.050000\n",
       "25%           2.900000  13.600000\n",
       "50%           4.100000  15.800000\n",
       "75%           7.100000  24.550000\n",
       "max          10.500000  30.575000"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "020bed6b-3b8c-4aaf-b598-15167136a536",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8cf5e3b2-6fb4-4ab7-b25c-572fcef34db8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl \n",
    "from matplotlib.font_manager import fontManager\n",
    "\n",
    "fontManager.addfont(\"STSONG.TTF\")\n",
    "mpl.rc('font', family=\"STSONG\")\n",
    "\n",
    "plt.scatter(x, y)\n",
    "plt.title(\"工作年限-工资\")\n",
    "plt.xlabel(\"年限\")\n",
    "plt.ylabel(\"收入（千元）\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6513e829-c139-42f0-ba47-94f9d2f1d11d",
   "metadata": {},
   "source": [
    "## 成本函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "750f802c-f619-4f3c-a972-e76c31a2d2b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "#y=wx+b,有x,y,求解w,b\n",
    "#Sigma(y-y_pred)**2/N\n",
    "#差距的平方和的平均\n",
    "\n",
    "def compute_cost(x, y, w, b):\n",
    "  y_pred = w*x + b\n",
    "  cost = (y - y_pred)**2\n",
    "  cost = cost.sum() / len(x)\n",
    "\n",
    "  return cost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "3d478b19-6f0b-4ffe-bf96-13b59fdd0194",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "costs_1=[]\n",
    "\n",
    "for w in range(-100,101):\n",
    "    a=compute_cost(x,y,w,0)\n",
    "    costs_1.append(a)\n",
    "\n",
    "\n",
    "# plt.scatter(range(-100, 101), costs)\n",
    "plt.plot(range(-100, 101), costs_1)\n",
    "plt.title(\"cost function b=0 w=-100~100\")\n",
    "plt.xlabel(\"w\")\n",
    "plt.ylabel(\"cost\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "7d193f75-cb9c-4776-9cdd-9fabaf011fbc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "costs_2=[]\n",
    "for w in range(-100,101):\n",
    "    a=compute_cost(x,y,2,b)\n",
    "    costs_2.append(a)\n",
    "\n",
    "plt.plot(range(-100, 101), costs_2)\n",
    "plt.title(\"cost function w=2 b=-100~100\")\n",
    "plt.xlabel(\"b\")\n",
    "plt.ylabel(\"cost\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "2c92f7e6-b6b9-4f8b-9f7c-61e7cc8545e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[461185.0069697 , 459973.36757576, 458763.72818182, ...,\n",
       "        260286.4069697 , 259470.76757576, 258657.12818182],\n",
       "       [453468.4380303 , 452266.56227273, 451066.68651515, ...,\n",
       "        254503.0380303 , 253697.16227273, 252893.28651515],\n",
       "       [445817.42      , 444625.30787879, 443435.19575758, ...,\n",
       "        248785.22      , 247989.10787879, 247194.99575758],\n",
       "       ...,\n",
       "       [211743.7369697 , 212465.29757576, 213188.85818182, ...,\n",
       "        393618.7369697 , 394736.29757576, 395855.85818182],\n",
       "       [217006.2480303 , 217737.57227273, 218470.89651515, ...,\n",
       "        400814.4480303 , 401941.77227273, 403071.09651515],\n",
       "       [222334.31      , 223075.39787879, 223818.48575758, ...,\n",
       "        408075.71      , 409212.79787879, 410351.88575758]])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# w=-100~100 b=-100~100 的 cost\n",
    "import numpy as np\n",
    "\n",
    "ws = np.arange(-100, 101)\n",
    "bs = np.arange(-100, 101)\n",
    "costs = np.zeros((201, 201))\n",
    "\n",
    "i = 0\n",
    "for w in ws: \n",
    "  j = 0\n",
    "  for b in bs: \n",
    "    cost = compute_cost(x, y, w, b)\n",
    "    costs[i,j] = cost\n",
    "    j = j+1\n",
    "  i = i+1\n",
    "\n",
    "costs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "fe451645-223f-4192-8bcf-2e7908cb6cf9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当w=[2], b=[8] 会有最小的cost:[2.87151515]\n"
     ]
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "from matplotlib.font_manager import fontManager\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "plt.figure(figsize=(7, 7))\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "ax.view_init(20, 20)\n",
    "ax.xaxis.set_pane_color((0, 0, 0))\n",
    "ax.yaxis.set_pane_color((0, 0, 0))\n",
    "ax.zaxis.set_pane_color((0, 0, 0))\n",
    "\n",
    "b_grid, w_grid = np.meshgrid(bs, ws)\n",
    "# https://wangyeming.github.io/2018/11/12/numpy-meshgrid/\n",
    "\n",
    "ax.plot_surface(w_grid, b_grid, costs, cmap=\"Spectral_r\", alpha=0.7)\n",
    "ax.plot_wireframe(w_grid, b_grid, costs, color=\"black\", alpha=0.1)\n",
    "\n",
    "ax.set_title(\"w b 对应的 cost\")\n",
    "ax.set_xlabel(\"w\")\n",
    "ax.set_ylabel(\"b\")\n",
    "ax.set_zlabel(\"cost\")\n",
    "\n",
    "w_index, b_index = np.where(costs == np.min(costs))\n",
    "ax.scatter(ws[w_index], bs[b_index], costs[w_index, b_index], color=\"red\", s=40)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(f\"当w={ws[w_index]}, b={bs[b_index]} 会有最小的cost:{costs[w_index, b_index]}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ae7a8e4-ac28-4771-ba10-151720c8bd7c",
   "metadata": {},
   "source": [
    "# Crandient Descent 梯度下降"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "425b57e5-1aa3-4074-afd0-351b50bfe24a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent(x, y, w_init, b_init, learning_rate, cost_function, gradient_function, run_iter, p_iter=1000):\n",
    "  \n",
    "  c_hist = []\n",
    "  w_hist = []\n",
    "  b_hist = []\n",
    "  \n",
    "  w = w_init\n",
    "  b = b_init\n",
    "\n",
    "  for i in range(run_iter):\n",
    "    w_gradient, b_gradient = gradient_function(x, y, w, b)\n",
    "\n",
    "    w = w - w_gradient*learning_rate\n",
    "    b = b - b_gradient*learning_rate\n",
    "    cost = cost_function(x, y, w, b)\n",
    "\n",
    "    w_hist.append(w)\n",
    "    b_hist.append(b)\n",
    "    c_hist.append(cost)\n",
    "\n",
    "    if i%p_iter == 0:\n",
    "      print(f\"Iteration {i:5} : Cost {cost: .4e}, w: {w: .2e}, b: {b: .2e}, w_gradient: {w_gradient: .2e}, b_gradient: {b_gradient: .2e}\")\n",
    "\n",
    "  return w, b, w_hist, b_hist, c_hist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "fdfae047-96f1-4e0e-a668-688f3df2d8a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration     0 : Cost  2.4587e+02, w:  6.54e-01, b:  1.09e-01, w_gradient: -1.09e+02, b_gradient: -1.81e+01\n",
      "Iteration  1000 : Cost  2.4936e+00, w:  2.48e+00, b:  5.69e+00, w_gradient:  5.26e-02, b_gradient: -3.50e-01\n",
      "Iteration  2000 : Cost  2.0446e+00, w:  2.32e+00, b:  6.74e+00, w_gradient:  1.06e-02, b_gradient: -7.05e-02\n",
      "Iteration  3000 : Cost  2.0264e+00, w:  2.29e+00, b:  6.95e+00, w_gradient:  2.13e-03, b_gradient: -1.42e-02\n",
      "Iteration  4000 : Cost  2.0256e+00, w:  2.28e+00, b:  6.99e+00, w_gradient:  4.29e-04, b_gradient: -2.86e-03\n",
      "Iteration  5000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  8.64e-05, b_gradient: -5.75e-04\n",
      "Iteration  6000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.74e-05, b_gradient: -1.16e-04\n",
      "Iteration  7000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.50e-06, b_gradient: -2.33e-05\n",
      "Iteration  8000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  7.06e-07, b_gradient: -4.70e-06\n",
      "Iteration  9000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.42e-07, b_gradient: -9.46e-07\n",
      "Iteration 10000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.86e-08, b_gradient: -1.90e-07\n",
      "Iteration 11000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  5.76e-09, b_gradient: -3.84e-08\n",
      "Iteration 12000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.16e-09, b_gradient: -7.72e-09\n",
      "Iteration 13000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.34e-10, b_gradient: -1.56e-09\n",
      "Iteration 14000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.70e-11, b_gradient: -3.13e-10\n",
      "Iteration 15000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  9.47e-12, b_gradient: -6.31e-11\n",
      "Iteration 16000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.91e-12, b_gradient: -1.27e-11\n",
      "Iteration 17000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.03e-13, b_gradient: -2.56e-12\n",
      "Iteration 18000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  9.34e-14, b_gradient: -5.13e-13\n",
      "Iteration 19000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.03e-14, b_gradient: -1.05e-13\n",
      "Iteration 20000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.60e-14, b_gradient: -7.40e-14\n",
      "Iteration 21000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.60e-14, b_gradient: -7.40e-14\n",
      "Iteration 22000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.60e-14, b_gradient: -7.40e-14\n",
      "Iteration 23000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.60e-14, b_gradient: -7.40e-14\n",
      "Iteration 24000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.60e-14, b_gradient: -7.40e-14\n"
     ]
    }
   ],
   "source": [
    "w_init = 0\n",
    "b_init = 0\n",
    "learning_rate = 6.0e-3\n",
    "run_iter = 25000\n",
    "\n",
    "w_final, b_final, w_hist, b_hist, c_hist = gradient_descent(x, y, w_init, b_init, learning_rate, compute_cost, compute_gradient, run_iter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "e31d9ac8-53d1-4c4f-a2df-440e25791c08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.plot(np.arange(0, 100), c_hist[:100])\n",
    "plt.title(\"iteration vs cost\")\n",
    "plt.xlabel(\"iteration\")\n",
    "plt.ylabel(\"cost\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "04fea869-c10f-454a-8c07-2943357200c9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "最终w b=(2.28, 7.00)\n"
     ]
    }
   ],
   "source": [
    "print(f\"最终w b=({w_final:.2f}, {b_final:.2f})\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2826e7ce-1d36-423b-9052-1a31ce130d9b",
   "metadata": {},
   "source": [
    "# Homework"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ee66a6a-8408-498c-839e-54b6c487fc59",
   "metadata": {},
   "source": [
    "### 请用之前仿真过的数据，重新跑一次梯度下降的程序，给出迭代次数，学习率，达到精度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "788499c5-dac0-4c3b-8855-e00917450f29",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "%matplotlib inline\n",
    "\n",
    "#生成加了噪声的值\n",
    "a=3.3\n",
    "b=1.3\n",
    "x=np.arange(50)\n",
    "y_data = np.array([a*xi + b for xi in x])\n",
    "noise = np.random.normal(0, 3 ,x.shape) \n",
    "y = y_data + noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4791be3e-8382-4034-8998-9f9f2f3c6fe7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration     0 : Cost  7.6364e+03, w:  2.70e-01, b:  8.23e-03, w_gradient: -2.70e+03, b_gradient: -8.23e+01\n",
      "Iteration  1000 : Cost  8.8049e+00, w:  3.34e+00, b:  1.45e-01, w_gradient:  1.30e-02, b_gradient: -4.29e-01\n",
      "Iteration  2000 : Cost  8.7690e+00, w:  3.34e+00, b:  1.87e-01, w_gradient:  1.27e-02, b_gradient: -4.18e-01\n",
      "Iteration  3000 : Cost  8.7349e+00, w:  3.34e+00, b:  2.28e-01, w_gradient:  1.23e-02, b_gradient: -4.07e-01\n",
      "Iteration  4000 : Cost  8.7026e+00, w:  3.33e+00, b:  2.69e-01, w_gradient:  1.20e-02, b_gradient: -3.97e-01\n",
      "Iteration  5000 : Cost  8.6718e+00, w:  3.33e+00, b:  3.08e-01, w_gradient:  1.17e-02, b_gradient: -3.87e-01\n",
      "Iteration  6000 : Cost  8.6426e+00, w:  3.33e+00, b:  3.46e-01, w_gradient:  1.14e-02, b_gradient: -3.77e-01\n",
      "Iteration  7000 : Cost  8.6149e+00, w:  3.33e+00, b:  3.83e-01, w_gradient:  1.11e-02, b_gradient: -3.67e-01\n",
      "Iteration  8000 : Cost  8.5885e+00, w:  3.33e+00, b:  4.19e-01, w_gradient:  1.09e-02, b_gradient: -3.58e-01\n",
      "Iteration  9000 : Cost  8.5635e+00, w:  3.33e+00, b:  4.55e-01, w_gradient:  1.06e-02, b_gradient: -3.49e-01\n",
      "Iteration 10000 : Cost  8.5397e+00, w:  3.33e+00, b:  4.89e-01, w_gradient:  1.03e-02, b_gradient: -3.40e-01\n",
      "Iteration 11000 : Cost  8.5171e+00, w:  3.33e+00, b:  5.23e-01, w_gradient:  1.00e-02, b_gradient: -3.32e-01\n",
      "Iteration 12000 : Cost  8.4957e+00, w:  3.33e+00, b:  5.56e-01, w_gradient:  9.79e-03, b_gradient: -3.23e-01\n",
      "Iteration 13000 : Cost  8.4753e+00, w:  3.32e+00, b:  5.87e-01, w_gradient:  9.55e-03, b_gradient: -3.15e-01\n",
      "Iteration 14000 : Cost  8.4560e+00, w:  3.32e+00, b:  6.19e-01, w_gradient:  9.30e-03, b_gradient: -3.07e-01\n",
      "Iteration 15000 : Cost  8.4376e+00, w:  3.32e+00, b:  6.49e-01, w_gradient:  9.07e-03, b_gradient: -2.99e-01\n",
      "Iteration 16000 : Cost  8.4201e+00, w:  3.32e+00, b:  6.78e-01, w_gradient:  8.84e-03, b_gradient: -2.92e-01\n",
      "Iteration 17000 : Cost  8.4036e+00, w:  3.32e+00, b:  7.07e-01, w_gradient:  8.61e-03, b_gradient: -2.84e-01\n",
      "Iteration 18000 : Cost  8.3878e+00, w:  3.32e+00, b:  7.35e-01, w_gradient:  8.39e-03, b_gradient: -2.77e-01\n",
      "Iteration 19000 : Cost  8.3728e+00, w:  3.32e+00, b:  7.63e-01, w_gradient:  8.18e-03, b_gradient: -2.70e-01\n",
      "Iteration 20000 : Cost  8.3586e+00, w:  3.32e+00, b:  7.89e-01, w_gradient:  7.97e-03, b_gradient: -2.63e-01\n",
      "Iteration 21000 : Cost  8.3451e+00, w:  3.32e+00, b:  8.15e-01, w_gradient:  7.77e-03, b_gradient: -2.56e-01\n",
      "Iteration 22000 : Cost  8.3323e+00, w:  3.32e+00, b:  8.40e-01, w_gradient:  7.57e-03, b_gradient: -2.50e-01\n",
      "Iteration 23000 : Cost  8.3201e+00, w:  3.32e+00, b:  8.65e-01, w_gradient:  7.38e-03, b_gradient: -2.43e-01\n",
      "Iteration 24000 : Cost  8.3086e+00, w:  3.32e+00, b:  8.89e-01, w_gradient:  7.19e-03, b_gradient: -2.37e-01\n",
      "Iteration 25000 : Cost  8.2976e+00, w:  3.31e+00, b:  9.13e-01, w_gradient:  7.01e-03, b_gradient: -2.31e-01\n",
      "Iteration 26000 : Cost  8.2872e+00, w:  3.31e+00, b:  9.35e-01, w_gradient:  6.83e-03, b_gradient: -2.25e-01\n",
      "Iteration 27000 : Cost  8.2773e+00, w:  3.31e+00, b:  9.58e-01, w_gradient:  6.66e-03, b_gradient: -2.20e-01\n",
      "Iteration 28000 : Cost  8.2678e+00, w:  3.31e+00, b:  9.79e-01, w_gradient:  6.49e-03, b_gradient: -2.14e-01\n",
      "Iteration 29000 : Cost  8.2589e+00, w:  3.31e+00, b:  1.00e+00, w_gradient:  6.32e-03, b_gradient: -2.09e-01\n",
      "Iteration 30000 : Cost  8.2504e+00, w:  3.31e+00, b:  1.02e+00, w_gradient:  6.16e-03, b_gradient: -2.03e-01\n",
      "Iteration 31000 : Cost  8.2423e+00, w:  3.31e+00, b:  1.04e+00, w_gradient:  6.01e-03, b_gradient: -1.98e-01\n",
      "Iteration 32000 : Cost  8.2347e+00, w:  3.31e+00, b:  1.06e+00, w_gradient:  5.85e-03, b_gradient: -1.93e-01\n",
      "Iteration 33000 : Cost  8.2274e+00, w:  3.31e+00, b:  1.08e+00, w_gradient:  5.71e-03, b_gradient: -1.88e-01\n",
      "Iteration 34000 : Cost  8.2205e+00, w:  3.31e+00, b:  1.10e+00, w_gradient:  5.56e-03, b_gradient: -1.83e-01\n",
      "Iteration 35000 : Cost  8.2139e+00, w:  3.31e+00, b:  1.12e+00, w_gradient:  5.42e-03, b_gradient: -1.79e-01\n",
      "Iteration 36000 : Cost  8.2077e+00, w:  3.31e+00, b:  1.13e+00, w_gradient:  5.28e-03, b_gradient: -1.74e-01\n",
      "Iteration 37000 : Cost  8.2018e+00, w:  3.31e+00, b:  1.15e+00, w_gradient:  5.15e-03, b_gradient: -1.70e-01\n",
      "Iteration 38000 : Cost  8.1961e+00, w:  3.31e+00, b:  1.17e+00, w_gradient:  5.02e-03, b_gradient: -1.65e-01\n",
      "Iteration 39000 : Cost  8.1908e+00, w:  3.31e+00, b:  1.18e+00, w_gradient:  4.89e-03, b_gradient: -1.61e-01\n",
      "Iteration 40000 : Cost  8.1857e+00, w:  3.31e+00, b:  1.20e+00, w_gradient:  4.76e-03, b_gradient: -1.57e-01\n",
      "Iteration 41000 : Cost  8.1809e+00, w:  3.31e+00, b:  1.22e+00, w_gradient:  4.64e-03, b_gradient: -1.53e-01\n",
      "Iteration 42000 : Cost  8.1763e+00, w:  3.30e+00, b:  1.23e+00, w_gradient:  4.53e-03, b_gradient: -1.49e-01\n",
      "Iteration 43000 : Cost  8.1720e+00, w:  3.30e+00, b:  1.25e+00, w_gradient:  4.41e-03, b_gradient: -1.46e-01\n",
      "Iteration 44000 : Cost  8.1678e+00, w:  3.30e+00, b:  1.26e+00, w_gradient:  4.30e-03, b_gradient: -1.42e-01\n",
      "Iteration 45000 : Cost  8.1639e+00, w:  3.30e+00, b:  1.27e+00, w_gradient:  4.19e-03, b_gradient: -1.38e-01\n",
      "Iteration 46000 : Cost  8.1602e+00, w:  3.30e+00, b:  1.29e+00, w_gradient:  4.08e-03, b_gradient: -1.35e-01\n",
      "Iteration 47000 : Cost  8.1566e+00, w:  3.30e+00, b:  1.30e+00, w_gradient:  3.98e-03, b_gradient: -1.31e-01\n",
      "Iteration 48000 : Cost  8.1533e+00, w:  3.30e+00, b:  1.31e+00, w_gradient:  3.88e-03, b_gradient: -1.28e-01\n",
      "Iteration 49000 : Cost  8.1501e+00, w:  3.30e+00, b:  1.33e+00, w_gradient:  3.78e-03, b_gradient: -1.25e-01\n",
      "迭代次数为50000,学习率为0.0001,\n",
      " w的值为3.3013733779769026,b的值为1.3388850581468563\n",
      " w的迭代精度为0.00041617514451598015,b的迭代精度为0.029911583189889443\n"
     ]
    }
   ],
   "source": [
    "#梯度下降\n",
    "def compute_cost(x, y, w, b):\n",
    "  y_pred = w*x + b\n",
    "  cost = (y - y_pred)**2\n",
    "  cost = cost.sum() / len(x)\n",
    "\n",
    "  return cost\n",
    "\n",
    "def compute_gradient(x, y, w, b):\n",
    "  w_gradient = (x*(w*x+b -y)).mean()\n",
    "  b_gradient = (w*x+b -y).mean()\n",
    "  return w_gradient, b_gradient\n",
    "\n",
    "def gradient_descent(x, y, w_init, b_init, learning_rate, cost_function, gradient_function, run_iter, p_iter=1000):\n",
    "  \n",
    "  c_hist = []\n",
    "  w_hist = []\n",
    "  b_hist = []\n",
    "  \n",
    "  w = w_init\n",
    "  b = b_init\n",
    "\n",
    "  for i in range(run_iter):\n",
    "    w_gradient, b_gradient = gradient_function(x, y, w, b)\n",
    "\n",
    "    w = w - w_gradient*learning_rate\n",
    "    b = b - b_gradient*learning_rate\n",
    "    cost = cost_function(x, y, w, b)\n",
    "\n",
    "    w_hist.append(w)\n",
    "    b_hist.append(b)\n",
    "    c_hist.append(cost)\n",
    "\n",
    "    if i%p_iter == 0:\n",
    "      print(f\"Iteration {i:5} : Cost {cost: .4e}, w: {w: .2e}, b: {b: .2e}, w_gradient: {w_gradient: .2e}, b_gradient: {b_gradient: .2e}\")\n",
    "\n",
    "  return w, b, w_hist, b_hist, c_hist\n",
    "\n",
    "\n",
    "w_init = 0\n",
    "b_init = 0\n",
    "learning_rate = 1.0e-4\n",
    "run_iter = 50000\n",
    "\n",
    "w_final, b_final, w_hist, b_hist, c_hist = gradient_descent(x, y, w_init, b_init, learning_rate, compute_cost, compute_gradient, run_iter)\n",
    "\n",
    "print(f\"迭代次数为{run_iter},学习率为{learning_rate},\\n w的值为{w_final},b的值为{b_final}\\n w的迭代精度为{abs(3.3-w_final)/3.3},b的迭代精度为{abs(1.3-b_final)/1.3}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0c4c581-93f6-4e5d-9f1c-ecb52dfa9d5d",
   "metadata": {},
   "source": [
    "# 第二题"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d8f4ec2-f062-47e9-89c6-050aee099609",
   "metadata": {},
   "source": [
    "### 预测波士顿房价"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "185ad681-ca61-4dc2-9299-3c535304b75e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import cross_val_predict, train_test_split\n",
    "from sklearn import datasets\n",
    "from sklearn.datasets import fetch_california_housing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b3830569-3651-40de-bcad-8af9b4673aea",
   "metadata": {},
   "outputs": [],
   "source": [
    "df=pd.read_csv(\"boston.csv\")\n",
    "X=df.iloc[:,:-1]\n",
    "y = df[\"MEDV\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c694e2e1-ba5f-4dd5-912b-c8b5666e68bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    .dataframe tbody tr th {\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PIRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>501</th>\n",
       "      <td>0.06263</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>0</td>\n",
       "      <td>0.573</td>\n",
       "      <td>6.593</td>\n",
       "      <td>69.1</td>\n",
       "      <td>2.4786</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>391.99</td>\n",
       "      <td>9.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>502</th>\n",
       "      <td>0.04527</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>0</td>\n",
       "      <td>0.573</td>\n",
       "      <td>6.120</td>\n",
       "      <td>76.7</td>\n",
       "      <td>2.2875</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>503</th>\n",
       "      <td>0.06076</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>0</td>\n",
       "      <td>0.573</td>\n",
       "      <td>6.976</td>\n",
       "      <td>91.0</td>\n",
       "      <td>2.1675</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>504</th>\n",
       "      <td>0.10959</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>0</td>\n",
       "      <td>0.573</td>\n",
       "      <td>6.794</td>\n",
       "      <td>89.3</td>\n",
       "      <td>2.3889</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>393.45</td>\n",
       "      <td>6.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>505</th>\n",
       "      <td>0.04741</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11.93</td>\n",
       "      <td>0</td>\n",
       "      <td>0.573</td>\n",
       "      <td>6.030</td>\n",
       "      <td>80.8</td>\n",
       "      <td>2.5050</td>\n",
       "      <td>1</td>\n",
       "      <td>273</td>\n",
       "      <td>21.0</td>\n",
       "      <td>396.90</td>\n",
       "      <td>7.88</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>506 rows × 13 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  \\\n",
       "0    0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296   \n",
       "1    0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242   \n",
       "2    0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242   \n",
       "3    0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222   \n",
       "4    0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222   \n",
       "..       ...   ...    ...   ...    ...    ...   ...     ...  ...  ...   \n",
       "501  0.06263   0.0  11.93     0  0.573  6.593  69.1  2.4786    1  273   \n",
       "502  0.04527   0.0  11.93     0  0.573  6.120  76.7  2.2875    1  273   \n",
       "503  0.06076   0.0  11.93     0  0.573  6.976  91.0  2.1675    1  273   \n",
       "504  0.10959   0.0  11.93     0  0.573  6.794  89.3  2.3889    1  273   \n",
       "505  0.04741   0.0  11.93     0  0.573  6.030  80.8  2.5050    1  273   \n",
       "\n",
       "     PIRATIO       B  LSTAT  \n",
       "0       15.3  396.90   4.98  \n",
       "1       17.8  396.90   9.14  \n",
       "2       17.8  392.83   4.03  \n",
       "3       18.7  394.63   2.94  \n",
       "4       18.7  396.90   5.33  \n",
       "..       ...     ...    ...  \n",
       "501     21.0  391.99   9.67  \n",
       "502     21.0  396.90   9.08  \n",
       "503     21.0  396.90   5.64  \n",
       "504     21.0  393.45   6.48  \n",
       "505     21.0  396.90   7.88  \n",
       "\n",
       "[506 rows x 13 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e7af3eca-818d-4d8f-b29a-0cf0e638cd49",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(253, 13)\n",
      "(253, 13)\n",
      "[-1.03895378e-01  6.56815411e-02 -9.88784599e-03  1.44988900e+00\n",
      " -1.72371494e+01  3.31332604e+00  1.08945012e-02 -1.37553794e+00\n",
      "  3.23677422e-01 -1.20132483e-02 -8.20440741e-01  8.69013924e-03\n",
      " -5.28748376e-01]\n",
      "36.050645844659556\n",
      "MSE: 22.839287038640453\n",
      "RMSE: 4.77904666629658\n"
     ]
    }
   ],
   "source": [
    "# 数据集划分\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.5, random_state=1)\n",
    "print(X_train.shape)\n",
    "print(X_test.shape)\n",
    "\n",
    "# 模型训练\n",
    "lr = LinearRegression()\n",
    "lr.fit(X_train, y_train)\n",
    "print(lr.coef_)\n",
    "print(lr.intercept_)\n",
    "\n",
    "# 模型评估\n",
    "y_pred = lr.predict(X_test)\n",
    "from sklearn import metrics\n",
    "MSE = metrics.mean_squared_error(y_test, y_pred)\n",
    "RMSE = np.sqrt(metrics.mean_squared_error(y_test, y_pred))\n",
    "print('MSE:', MSE)\n",
    "print('RMSE:', RMSE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4034ec88-7b57-46c9-84d2-b2dbff272cd9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "from matplotlib.font_manager import fontManager\n",
    "fontManager.addfont(\"STSONG.TTF\")\n",
    "mpl.rc('font', family=\"STSONG\")\n",
    "\n",
    "# 绘制图\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.plot(range(len(y_test)), y_test, 'r', label='测试数据')\n",
    "plt.plot(range(len(y_test)), y_pred, 'b', label='预测数据')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a58a6460-13ce-43c6-bf1f-058a74b9cb05",
   "metadata": {},
   "source": [
    "### 对单列（？）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "dd0def2a-56d0-45ce-b9ab-7485f2c433b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为-0.4151902350049322,b的值为24.033105152294524\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为0.1421400281491925,b的值为20.917577109973873\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为-0.6403495440116432,b的值为29.630103284798327\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为5.044358796950665,b的值为22.190051093403312\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为1.4936215057453286,b的值为21.501430131957658\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为4.747459714936424,b的值为-6.970182903095767\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home1/xiaojiaying/.local/lib/python3.10/site-packages/numpy/_core/_methods.py:53: RuntimeWarning: overflow encountered in reduce\n",
      "  return umr_sum(a, axis, dtype, out, keepdims, initial, where)\n",
      "/tmp/ipykernel_2357081/3131007106.py:12: RuntimeWarning: invalid value encountered in scalar subtract\n",
      "  w = w - w_gradient*learning_rate\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为nan,b的值为nan\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为1.1305284414095371,b的值为18.199339833564743\n"
     ]
    },
    {
     "data": {
      "image/png": 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qAweMj8XFVkvM1q1Sly7O1QkAgBgjyHhVqDEwXbq4Y2yMOcV6z57gkNWzp1M1Csb+SAAQNwgyXtfUOA8nmYEgNdUqS011T1Bg8T8AiBsEGa8LbIFxQ2uMZM2oys+3yvLzraDglnoCADyPIONVbp55E2pGlZsG+5rYHwkAPI8g41XMvAEAgL2WHFFeLiUlGYdbxrUAAOBBtMg4wY79kdy+6BwAADFAkImlpsa1RLKZotsXnQMAIAYIMrEUalxLYCAhfAAAEBaCjFe5eWVfc8G5oiIrqOXlMe0aAGA7goxXuXll31DrxWRksOAcAMB2zFqKpbIy4zAH6krGuVkOAADCQotMLJktEoEtE61dGj8jg7E1AICERYuMExoGGQAAEBFaZJwQ70vju3n7BABAXKFFxgl2ruzrxlWCTzzROAK3TOja1Sp3Czf+7AAAYSHIOKGplgo34MUdAOAhdC3Fkp0r+0ar+8aO7RPMGVjl5VarzIED7ulSMh9jUZFVVlRkTRd3Sz0BAMdFkIklO1f2tXv3aztDVqjPbe3sLDuxwjIAxA2CDAy8uAMAPIgg0xLl5dYLfVmZO1oWvLD7dbzPzgIAOI4gE0t27kHE7tcAABBkmmX3gNporOxrFzNk7dkTvAllz55O1Sh62NQSAOIGQaY5dg+oNdmxsq/dXUtmPVJTrbLUVHeELLuxqSUAxA2CjBPsGDtid9dSU2vGRDJrCQCAGCHINCeRuiCiMWvJjYOkAzEYGQA8jyDjVW5fdA4AgBggyDTHzWur2L3o3IEDxsfi4uDBvl26hH+tRNw00u2tTwAQpwgyMAQOYjaZgUZydtVhL7BjawcAQNgIMs3xQvcN4zycZQaYvXutsr17Q0+1BwDYjiDTHLfvGWQnO0Obnd1Ubheq9WnIEOuckAkAUUWQgcHO0GZnNxUAAM1IdroCAAAAkaJFBsHsGHNjdi3t3Wt1s2zcKJ12WuuuCwBAAwSZ5nhhGrEbp/2G6lqK13EjZmjbvj14q4i+fZ2rEwAkEIJMcxJxGjHCY67yHBhws7Lic/VnAHAhgoxXeaG1KJHYsREoACBsBJnmuHkdGVqL3CUjg585ADiAINOcaK0j48ZxLQAAeBDTr72qrMw4zMGmknFuliO2ysulpCTjCOziAwBElaMtMl9//bVmzJihXbt2qUOHDnr11VfVuXNnrVy5UocPH1ZdXZ169eqliy66yMlq2rcNgJ3jWhJp1WEAAJrgaJDZsGGDXnrpJbVp00aTJk3SJ598or59+2rLli2aMWOGJGn69OkaOHCgOnXq5GRV7ZEo41ry8oyPmzdL48YZ5zk50sCBTtUoehh0DQCOcjTIjB8/XpJUXV2tYcOG6aqrrtJ9992nsWPH+j+nX79+eumll3TXXXc5VU13c+Omkb16NS4zA43kvvq2RqKEUwBw6fhOx8fI5Ofn65ZbbtFbb72lnTt3Kjc3V5mZmf77MzMzlZubG/Jrq6qqVFpaGnS4WjTGtTA2I3L87ADA81wxa+mVV17Ryy+/rHHH3rWnpKT470tJSVFhYWHIr5s9e7YeeuihWFTRHoxriT9unqIPAHZweRd6i1pkfD6f1q9fH5UKZGVlSZJuuukmFRYWKjk5WZWVlf77q6qq1DXUkveSZs6cqZKSEv+Rn58flTq6Unm5dTRXhsbs/NmZQbThgngEVADx4sQTjSPwtbhrV6vcYS0KMklJSZo+fbpWrlwpXxT7/Dt06KArr7xS+/bt85cVFhZq8ODBIT8/JSVFaWlpQYcnmONafL7IX+xc/ovlavzsACButHiMzKRJk9S2bVs98MAD+t3vfqfdu3e36hvX1NTo4MGD/ttvvPGG7rzzTt11111au3atv3zLli26+eabW/W9Wi2RxlLY8VgPHDCOjRutso0brfJ4ZEc4BQA3cvm6ZUm+FjSx+Hw+7du3T6eddpokqaKiQsuXL1d+fr6ys7N17bXXqn379mF94927d+umm27SDTfcoF69eungwYO67bbblJycrJycHB0+fFjV1dU688wzNdzcVfg4SktLlZ6erpKSEntbZ9w4UjuwzzLU2IxI62jHY01Kav5+p2fyRONn58bfEQCwUxT/z7Xm9btFg32TkpL8IUaSUlNTNWHCBEnS6tWrdfbZZ+uqq67S008/3eJvnJ2drY8//jjkfeMCp+o6yc0DnOweOOzmx2o3Bl0DQNxo8ayloqIiZWRkSJJqa2v12muv6bnnntO2bdv0s5/9TFOmTIlaJR0TrTVC7Ey1DYNHa8bcNBTpYzWbH/fulYYMMc43bpQCwnDcSKQACCCxuXHdMoURZLZs2aIzzzxT8+bN01/+8hdlZmbqrrvu0sSJE9WhQ4do1hHNaThbxg1CzTIzA43knj8EO/4oWRAPABzV4iAzYcIEHTlyRNdcc42WLl2qiy++OJr1cge71wgx36kXFVllRUXSsZausK5rd0uA+Vj37JEGDDDOt26VevYM7zpewrgWAPC8FgeZYcOG6dlnn1W3bt2iWR93sXssRah374HL+Yfz7t3ulgAzBFVUWGUVFVY5L/KhsSAeADiqRUHG5/PpoYceSqwQk2i80h1kBztbxhg4DACOavGspbPPPluS9P777+uFF15QUVGRsrOzNXHiRF144YVRraTj3DjAyc0tAWbdioqsFqe8PCsoOM3OljEAgKPC2jRy6tSpGjNmjA4cOKCTTjpJ27Zt08iRI3XnnXdGdcVfhGD30vh5ecaRk2OV5eRY5ZHULTC4ZGTEd0sFC+IBiHcuXRy2xWNkXn31VX311VfavXu3Onfu7C/fv3+/Jk6cqOeff1633357VCoZN9zcUhHYImEKXM+HoAoAcKEWt8jk5OTo9ddfDwoxknTKKacoJydHq1evtr1ycScaLRVubglwc90AAC3j8k2KW9wic84556hTp04h70tLS2tyY0ckMLdOb45Gy5hbHysAtJbL18tqcZDpFarrIQAzmsLgxsHDicQMGaFaxgAAntLiIHO81Xt37drV6srAQXYuiJdIy/Yn0mMFkJjMCR/5+ZK5ifP69VJWlnN1CtCi3a8l6fLLL29yNd8jR45o7ty5KnN4O++o7X6dSHbvDu5uyc4O/xpu3/3aTon0WAEkphj8n4v67teStHv3bnXv3r3J+zPcMPMGrefGvZsAAGhCi4PMww8/rJtuuqnJ++fPn29LheCQpkaeR7JFQSLtfu3mhQkBwA7m//Ti4uChB126OFenAC3uWmpKUVGR8vLydOqppyrL4f4yupZawc6mw0TsbikqCg4ytFACiDdR/D/XmtfvFq8j8+STT2rRokWqq6sLKs/IyFBJSYmGDh0a1jf2FJeuZijJ+MUy6xa4dxAAAAmgxV1L+fn5mjp1qtq0aaPFixfr888/17nnnqvrrrtOV155pWbOnBnNeqIpTc2WCVcidpHYsfaLnV1yAOBmGRmubFFvcZAZMWKE2rdvL0kaP368SktLNXHiRP/9J510kv21c5qbp9aarS8HD1plBw+GXiOlJezcxTmRxsi4fKEoAIh3LQ4ySQ3GPXQN/GctxeemkW5+kWrw85dkhQaJujXHDKOBXXFFRVb4oxUFADyjxUGmoYbBpuFteFQirDocKqAGrlwdzuNPxC45AHCRFgeZ559/Xl988YX/9vbt24Nuf/TRR81Oz/YkXqQik0g/Nzu75AAAYWtxkNm/f792797tv52SkhJ0u6Kiwt6auUHAi5FPUpJZ5oYXKTu3FLAbL+4AgBhpUZCpq6vTL3/5S/3Hf/xHk5+zcOFC2yrlNj6flKxj3Q3HeiWuvdY4xoxxaMkQMxSkplplqamEBackQpccALhQi4JMcnKyvvvuu2Y/5/Dhw3bUx5X+uatxOFi+3Dga6tNHuuYaI+T88IdSmzZRrlzDHZzdxK0v7mZrVlFR8L5Sbvv5AQCOq8Ur+7Zv377JvZZ8Pp8OHDjgePdStFb2ra6WVq0ygsuKFZGvO3f11UbIGTtWysy0qXJ2rIWSqPjZAYArxGTTyL/97W9au3atunXrprFjx/rXlJGMIBPPey21b2+EkKuvlp5/Pvi+XbuMcLN8ufT++81f5803jaOhM84wAs4110gXXSS1DWcuWcM1bngxBgAkkLD3Wvrmm2+0fPly1dXVadSoUerdu7ckY+Vf9lqyVFZKa9daXVCFhZFdZ/RoqxWnW7eAOwLXQgnVPRJpoNm9O/h62dmRXcesW6LsP5RIjxVAYnLpXksRbxpZX1+vlStXavv27Tr11FN1ww03BLXSOMFNQaY5eXnSG28YAWft2siuka08XavlukYrNEwb1E61wZ8Q6dgUgkxkEumxAkhMLg0yES+IV1dXp4MHD+rll19Wfn6+CgoKdO+990Z6uYTSq5f0y18aR6CqKmndOqur6ptvmr7GbvXS0/qVntavGt13pd7WtXONVpwmhjWFuOCxqfQ7dlhlgefhBBpzENHevVZZ4Hmkv/x2j2mx43rmYy0utsoCzwk0ALzO5f/nwm6RKSws1Ny5czVv3jx17dpV06ZN06RJk3TCCSdEq44t5pUWmUheQPfsMVpxVqyQ1qyJ7Nv26GFNG7/kEqldu4A7j7cyczi/JnZeK5Abg0y0HisAuEUM/s+15vU7uaWfuHHjRk2cOFHZ2dn6xz/+oZdfflmbN2/WbbfdphNOOEGbN28Ou+JouZ49pbvvllavNn5nfGXl8pWVq2rTNq3S5ZqqOepxSnWz19i3T5ozR7rsMmMAc1KSdVyuVXpWd2mfnB3nFFJ5uXE03BvJLHf6egAAx7R4QbzLLrtMt956q7Zs2aIzzjij0ee8//77GjhwoO0VjCtR2E27fU25LtcaXa41mrN8qNSvn/9a+/ZZrTirVjV/nTXHrnK3ng0q7658XaMVuuYdacQIKSUl7Cq2np17I9l9PXOn7+Li4BWWu3QJr04A4FYu/z/X4q6le+65R4MGDQraHNLn8ykpKUk+n0/Lli3Tm6HmFseQ67uWXNJ9U1MjffCBtS7Onj0t/7aBLr3UmjYeNITG7mZIt19PsneQNAC4kUsH+7YoyNTX1ysvLy9kS4xpzZo1uuyyy8L65nYjyER4rYDrfaNuelNXa7mu1VsaHd41jjlFBf4ZVT/SWp2gKlvq1iSnrycRZADEPy8HGa+IWpCxa5CpnWu/xPjFvbbGpw8/tNbFycsL7/Km4ReU69qbOuqaa6TTT7enbo4GmWit5wMACYQgc0zUgoxdKdTDQaa56+3fb6xYvHy59Pe/h/dtTRkZ1oyqSy+VOnQIuNPusODmljEASEAEmWNsDzJufgE167ZnT/Dgq549na/bsWvVqo0+1g+1whgurB06M7w6HTNs2LGQc16+eo/sYRS2pvuGIAMA4Yvi/nQEmWNsDzIuavVoxM0hqwXXOnDAaMVZscI4ItG5s7XT+GWXSampLfxCO0MgQQZAoiDIRJ/rg0ycdi3Zea26OunTT60ZVdu3t/zbBrrwQivk9O3bxCfZ0WVIkAEQ7wKXDgn8n2m+ZtkQaAgyxxBkWlE3lwSZ5q5XrM76u8Zoua7VCl2jerUJ7zqSvv99I9xcc410xUXl6ti1le8u7O7iAwC3cfnKvgSZ5ri5+8buhOyBINOU+jqfcnOtGVXbtoV3edMPfmCFnH79jv8wgrBpJIB45fIg0+ItChJSx47W0VyZE9xcN7vl5RlHTo5VlpPjL09ONkLIY49J//rXsS0cjh0HD0ovvSTdcIPU9jjrWH/6qfTAA0bDSnKytX1Derp0883Sa69JR440+CJzW4OGqzWz3QGAeFFWZhzr11tl69db5Q6LePdrRMB8wptqRUFogdsHmMaNs86beTdw8snSf/yHcQSqr5c+/9zaaXzLlqa/fWmptHChcTR0gbbpWi3XtVquAZKSGtY3fho8ASQq803Z0aNW2dGjVrnDr2F0LbWEG3ddtts77xgfly+X5s41zn/xC6OvRZKuvLLl13Lz+J0W+PZb6a23rJBTVXX8r2noRB3RNVqha5dM1KhRkhsXmgaAFnF51xJBpjnRGqntxvEUHh4jE6tWD59P2rTJmlH1xReRXee886wZVeecE+ZYHACINYJM7Lh+1pLJzhYZu65FkGmVw9+U6+3u/2nMqEodr4qK8NNJaqq1CedVV0nf+5799QSAsBFkYsf1QSYaLTwEGVcEmaaeB59P2rzZmlH1j39Edvlzz7VCznnn0YoDIIb+9S/j42efSZMnG+cvvihdcIFx3r9/q78FQeaYhJx+7ca6EWRa9PMvLTWGJpkhJ5LB/ykp1pTx0aONdXIAwFa0yMROQgUZN4eFaLVkbdsmDRlinG/caCz2IrljsLSN3YU+n7GmnjnYODc3susMGGBtxHn++caUcgAIG0EmdjzTteTGPX7cHGSKioyP27dLw4cb5+vXW3sPtGY38taGjxgs3R3oyBFp1Sor5JSUhH+Ntm2tgDN6tDFFHQCaZP4PLi4Ofu3q0sU4t2HCCkHmGNcHGdPu3cEtPJHs4pxIQcbNg65d0u3l80lffmnNqPrkk8iu06+fFXIGD6YVB0CA3NzgVvHBg227dGtev1kQrzl5ecbHHTukUaOM87fflvr0iex6Zqo9eNAqO3jQegF1wzTsRBDYitKwTHJHV1WYkpKMENKvnzRzZvB9ZWXS6tXWTuPfftv0dbZtM47Zs4PLk5OtwcZXX229EQOQQBouiOcStMg0x80tC24ev7N7t/Fx40Zp/HjjfPFiK8mH2wKVSM9DjG3fbrXifPRRZNfo29cKOUOHSm3C38sTgJuZ/9ObelMfSa9CA7TIJKJQrTgZGe544TTrUFlplVVWuqNuCNK3r3HMmBFcXlEhvfuuNaMqsBGxoe3bjeMPf2h8X2ArjjmECIDHhNomxgw0kuMzR2mRaY7dLQFmqt282dorKCdHGjjQOI8k1bKOjLPr+bhkjEws7dghvfGGEXA++CCya/TubU0bv/BCWnEAV2PWUuxEbfq1HbOMpOj8MiRCkInW9Os4GuzrBkePSu+9Z82oOnAgsuuMGWOEnKuvlk45xd46AoiAy4MMcxKa07GjcaSmWmWpqVa5GzQ1YDWeuPl5MLexD3zVPnDANdvbx1KHDkYI+fOfpcJC43+beezcKT35pDRixPGv8/e/S7ffLnXrZvz/NI/TT5d+/Wtj5n1tbdQfDgCPIMi0ROCLpdMvnKbycutorqylzBfenByrLCfHHS/IRUXGUVFhlVVUWOWR6tjReqWN9Hk1w1TD3xE3hCwXOeMM6Ve/ktauDQ44R49KK1dKd95pBJfm5OVJTz1lhKF27YJDzlVXSfPmSQUFMXk4AFyErqWWsKv7xnzR3bs3uIvktNOM83CmX0dr0bm1a4NnGv3oR87XzQvdN3ZuBApJRnB54w2jq+q99yK7Rs+e1k7jF19sBCAAYXJ51xJBpjnRmlrLgngtv1Y0rgdPq6oyupfMaeNffx3Zda64wppVlZVlbx2BuEKQiR3Xz1oyEWRafi0pestj04oSd/butWZUrVkT2TWysqwZVcOHS+3b21tHwHPMGbfvvx+8+/UllxjnDq8jQ5BpjpuXxrezm0pyd5Ax2REAAxFkEkZ1tTFV3FwXZ9++yK4zcqQVcsw/NSDu0SITO64PMnZ2VSVSi4zJriAT440e4W75+dKbbxoB5513IrtGt27WHlUjRkgpKbZWEXAWQSZ2XB9k3BwW3Fw3N2/HgLhVUyNt2GCti2O2rodrxAgr5NjQAg/EHkGmabm5uXr00UdVUFCg008/Xc8//7xOPPFELV26VHV1daqsrNSQIUPUv3//Fl0voRbEc/OLu5tDVjSuh4TzzTdGK86KFcb08UhkZlozqi69VDrhBHvrCNiGMTKhVVdX67e//a1mzZqlNm3a6Be/+IXS0tI0evRo5efna9KkSZKkKVOm6Nlnn1Vy8vGXvHH9rKVovIAWFQV3j0Q68DWRggxdS4iS2lpj801zRtWuXZFd55JLrJBzxhn21hEIGy0yoe3du1cdOnRQxrEX3pUrV2revHlq166dnnjiCfU81uoxa9YsDRkyRGPGjDnuNROqa8nNIcvNP7dADPZFDBUWWmNx3nwzsmtkZFhTxi+7zFhNGYg6lwcZx1b2Pe200/whRpK2bNmikSNHKjc3V5mZmf7yzMxM5ebmhrxGVVWVSktLgw5XM1fJzcuzyvLyIls998QTjSNwV9JevaxyxFZ5ubXMbLxuFYFWycyUbrvNmB4euLpxba0xFmf6dKlPn+avUVQk/e//GkEmNTV4deNhw6THH5e++io2jwdwC1dsUXDo0CFt3rxZU6ZMUVFRkVIChvynpKSosLAw5NfNnj1b6enp/iPL7lWt7AwekrVsfWD3T0YGy9kfz4EDxrFxo1W2caNVHik7tigAWqlNG+mii6Q//MEIIYEh58AB6YUXjC6m4/nwQ+m++6S+fYMDzsknSz/7mdESFLjLBxAvHJ+1VFNTo0ceeUT/9V//pbS0NPXo0UNfffWVOhxrM507d64KCwv10EMPNfraqqoqVVVV+W+XlpYqKyvL/i0K7BqHYrKjS8PNA5G90rVkB8bbwAF1dUaWN2dUffllZNcZOtSaUWUGIKARupaaVl9frzlz5mj69On+ip9//vnaF7BaVWFhoQYPHhzy61NSUpSWlhZ02MrujRlNtATED7MrzwwxknFOFx+iqE0b6Yc/lGbPlrZtC27FKSoyJpRcf73xec355BNp5kypXz8pOdlqxfn+96VbbpFef935PWOB43G0Reaxxx7T7bffrs6dO0uSlixZoszMTG3evFl33323JOmOO+7Q3LlznZm15OaWADe3ekRriwK7VjG2k5t/R4AA9fXSZ59ZM6q2bo3sOkOGWDOq+venFSchuLxFxrEgs2DBAj3wwAPqcmy/HJ/Pp+LiYhUUFGjBggVKTk7W4cOHNWLECJ199tktuiZBJkA8BRk3Pw90LSEOfPutsR6OGXKqq8O/RlqaNaNq1CipUyf76wmHEGRiJ2rryNj9ImXHGBk3hwU31y1amMqNOFRfL23aZO1RtXlzZNe54AIr5AwcSCuO55gzhzdtku64wzj/85+lQYOM8yaGf4SDIHOM7UHGZPeLFJtGtvxa0bheNNg9IBxwue++k95+2wo5lZXhX6NjR2sTzlGjpPR0++sJG9AiEzuuDzJ2tvBEa7XbDRuM/yiS8V9q2DDn62aGtk2bgutmvhuINDTYGVBpkQEkGX/eX3xhzajatCmy6wwaZIWcc8+lFcdRLg8ybVv93ROBOcuotULNYgmc7RI/mdJegT8jkxloJPeMkWlYJhFokHCSkowQMmiQNGtW8H0lJcZ7EDPkNDf5c9Mm43jwweDyE06wpoxfdZX0ve/Z/QjQiDkyfOtWafx443zxYmvpD4fRIhNL0diiwK7xO4nUteTmljEgAfl80pYt1mDjzz6L7DoDB1oh57zzaMWxXW5u8FAGG8bGmOhaOsb1QSYag4ft6tJIpCDj5scKIEhpqfTOO0bAWbHCuB2u9u2twcZjxkgnnWR/PeOa+dr1+efS8OHG+fr10vnnG+c2tDwTZI5xfZAxuXFshptf3N18PaZfA47w+aR//ctqxQncwSQcAwZYIWfwYGNhQDTg8jEyBBknuHFgqJ2/qHYPznVz11LgNd32nAIJqqxMWr3amlF1+HD412jTxhpsPGaMdGzd1sTk8iDDYF8n2DV42K3MoBLYfnvSSZHPLjI3hty+PbhZs2/fyK4XKmSwcScQN048UbruOuMI5PMZ/0bMwcYff9z0NerqjC0aXn+98X1nnWWFnB/8IAFaccz/wU29OXUYLTJe58auJbs3tDT961/B1+vfP7LrmFj7BcAx5eXSmjVWyDl0KLLrmIONx4yJo38pLm+RIch4nRuDTLR+6Xfvlnr1Ms7z8qTs7MiuY6I7CEALfPWVNdh4w4bIrtGnjxVyhg49/oaerkKQiR3PBBk7XkATafq13Y+VAboAbFBRIb37rhVyzOGB4br6aiPgjB0betksxxFkYsf1K/vaeT03z+Qx/5qLi4O7go5tEOr4YF+mTAOIsp07rYDz/vuRXeOMM6ydxi+8UGrr1KhWgkzsuD7IuHkhNje3yLj9egDQQpWV0nvvWdPGCwsju87o0UbIGTtW6tbN3jo2Yr52rVkjjRtnnOfkSJddZpw7vI5MvI+1bp3ycutorqylTjzROALbDrt2tcrDceCAcZhLR0vGuVkeT8rKjCPwcR04YJU7fT0AaKETTjBCyJ//LO3fb7xvMo9//1t66ilpxIjjX2flSunOO6VTTzXem5lHr17Sr34lrV0r1dTYVOmiIuMI3Bm0stIqdxgtMs1xc0uAm+tmd9dS4HXtnGXEYF8AHlBVJa1bZ62LU1AQ2XWuvNIai9O9exhfSNdS7Lg+yNC1FP61AhFkACDInj3SG28YAefddyO7Ro8e1oyqSy6R2rVr8AkEmdixPciYwaOoKHjar/kC2pqxMnbNWrKrbub1tm0L3hSsX7/wr+fmAAgACaC62lg31FwXJz8/sutcdpl0bf9duuaiQ+pRuFGaNs2445lnpHPOMc4vuaTV9SXIHBO1wb5ubAmIVpCx43p2143BuQBgm337jFacFSukVavC//pL9a7e1WVWAS0y9vFMi4wd3Ny1RJABAM+pqZE++MCaUbVnT9Of61PA/2WCjH1cP0bGTm4OMnQtAUD8yM3VN0Xt9MZL32nl0iO6RQt0wzMjjCWKJWPb8FYiyByTUEHG7hf33buNjzt2BG8K1qePcR7OdgDR+rm5eXCum+sGAK3h8sG+7H7dHHNNkabCgpPs3sHZ7AIKZAYaKbxfVDf/3AAAcYUg0xy7w4Ip3t+9R+vn1rGj+8bDBLaMNSyT4u+5BQCXIch4nRtf3E2BI8X27JH693eqJtETakXmwJWb3frcAECcYIuCljDDgs/XunfYdm95YCdzef71662y9etZth8AEp259c3bb1tlb7/tmi1xaJGJJTe/ezeD1NGjVtnRo1Z5OAHOHDi8a5dVtmuXlJpqnIczcNjtGA8EIN6ZS2eYkz/M89auqWYTggwMgYHKFOlg31ADh80dU8O9lttFazwQALiF+YY2cHng/Hx3rKkmgkxs8e4dAOA1oXoThg+3zh1+c0qQiSU3v3vfutX4uGuX1XqSkyOdcYZTNfIWNw+6BoA4RpCBYcCAxmXx2h0EAIgbBBkn8O4dAABbEGRgyMszPm7eHNy1NHCgUzUCAOC4CDJeZ9cqwXbONDLXFdi7VxoyxDjfuFE67bTI6gYAQBMIMrBfqKncZqCR6FYDANiGIONV7PEDAABBxrPcvEow6+UAAGKEIAP7mYGl4f5RBBkAgM0IMl5ld6uHuSDeZ59Jkycb5y++KF1wQWtqCQBAVBFkvMruVYJDLYhnBhopvK6qpnbyjmQDSgAAmkGQgf3cPH4HABBXCDJeZ9cqwRs3Gh83bZLuuMM4//OfpUGDWn9tAACihCADQ+A6LyYz0EgsiAcAcCWCDOzHgngAgBhJdroCAAAAkSLIAAAAzyLIAAAAz2KMDAx5ecbHHTukUaOM87fflvr0Cf9a5mJ9RUXWrtp5eVJGRuvrCQBAAIIMDGbgCGQGGim8AbrmgneBwSUjg4XwAAC2o2sJAAB4Fi0yMERjx2q7FusDAKAJBJmWKC+3lt0vK4vPLhK7924CACAG6FpC9JSXS0lJxtHURpIAALQCLTLNMV98A1+EA8/jsbWC7iAAgIcQZJrDLs6RScQACABwBEEG9iMAAgBihCDTnGjM5AEAALYhyDSHmTyRIQACAGKEIAP7EQABADFCkGkJZvIAAOBKBBlEDwEQABBlLIgHAAA8iyADAAA8iyADAAA8izEyAACgaW+/bXxcuVJ65hnjfNo0afRo5+oUIMnni5/RmKWlpUpPT1dJSYnS0tKcrg4AAN6XlNT8/TbEiNa8fjveIrNmzRo9/fTTevPNN/1lS5cuVV1dnSorKzVkyBD179/fwRoCAAC3cjTILFu2THv27FGZuRKspPXr16u6ulqTJk2SJE2ZMkXPPvuskpMZzgMAAII5mg5GjRqln/zkJ0FlzzzzjIYNG+a/3aVLF7311lshv76qqkqlpaVBBwAASByOtsh06tRJhw4dCirLzc1VZmam/3ZmZqZyc3M1ZsyYRl8/e/ZsPfTQQ1GvJxCv6uvrVV1d7XQ14lr79u1pUYa35eUZH197TZo+3Th//HHphhucq1MAx8fINFRUVKSUlBT/7ZSUFBUWFob83JkzZ+rXv/61/3ZpaamysrKiXkcgHlRXV2v37t2qr693uipxLTk5WdnZ2Wrfvr3TVQEiY+6T17u3Vda7t2v2z3NdkMnIyFBlZaU6dOggyeg+6mruoNxASkpKUOgB0DI+n0/79+9XmzZtlJWVRYtBlNTX16ugoED79+9Xjx49lHS82R+AG4V6DR43zjp3ePKz64LM+eefr3379unMM8+UJBUWFmrw4MEO1wqIL7W1taqoqFC3bt2UmprqdHXiWpcuXVRQUKDa2lq1a9fO6eoAccd1b8PuuecerVq1yn+7sLBQo12y6A4QL+rq6iSJ7o4YMH/G5s8cgL0cDTLFxcVasGCBdu7c6Q8vw4cPV1pamhYuXKg5c+Zo6tSpNHsDUUJXR/TxM4bnlZUZx/r1Vtn69Va5wxztWurSpYtmzZqlWbNmBZXfcsstDtUIgNccOXJEqampatOmTYs+v76+XlVVVf5xeACOo6lBvS4Z7EtTBwBPW7NmjR5++OGgssrKyiZnYyUnJ2vGjBlavXp1i64/a9Ys5ZnTT4+59tprVVJSElmFAa8pKjKOlpbHmOsG+wJAUxYvXtxoXZYPPvhAKSkpysnJ8Zdt2LBBXbp00YwZMyRJX375pc466yz//VOmTNGDDz6oyy+/3F+2c+dOVVRU6JxzzvGXHT16VBs2bGjUatyuXTulp6dLkvbu3auSkhINHDjQ1scKuEaoWUvDh1vnzFoC4Fnl5dKJJxrnZWVRb2oeP368JGMSgLlwZkFBgfr166cRI0ZIkr7++muNC5waKumxxx5Tfn5+UNmRI0f8XyNJ+/btU3Z2tt59911/2cKFCzV9+nTdeOONKi4u9o932bZtm/9rKysr1bNnTy1evNjGRwqgpQgyADznZz/7mcrLy5WUlKSvv/5a6enp6tSpk2pra7Vr1y599dVX/haTjz/+WG3atNG6detUX1/vb805fPiwOnbs6J8SPXfu3KDxeT6fT++9954WL16sUaNG6csvv1SvXr2UnJysO++8U3/5y1/05ZdfKisrSyeaYQ5AzBFkECzG77DhUeXlwR8bnkf59+akk07SypUrQ9539dVX+0OMZIxxeeihh1RfX6///d//1cGDBzVz5kx98MEHWrp0qRYuXKhDhw7p+uuvD1pTZ+nSpVq1apWKioqUkZGhZcuW6c033/R/zogRI1RQUKAxY8boqaeeiurjBdA0ggyA8IVqgQjsR49yn3lJSUlQt1CghovOBa5Ldfvtt+uhhx7Spk2bVFVVpeHH+vlPPvnkoK+pra3Vhx9+qAkTJigjI0OSMUj4pZdeUt++ff2fN2/evKDbAGKPIAODw++wgXCkp6frjTfeCHnfj3/845Dlq1at0jfffKPf/OY3SkpK0meffdbk3myvv/667r//fj322GNB5TfffHNQq01BQYHmz58f4aMAYAeCDAwOv8OGx5iLYJWXW78nBw7ELPCG0yJjuuKKK/Tb3/5WCxcu1M0336xt27bpyiuvDPm5w4YNU7du3RqVh2qRAeLegQPGx48/tvZYysmRfvhDp2oUhCADIHyhAkvHjq5rufv3v/+t//zP//TfrqmpUVlZmV544QV9+eWX+uKLL/z3FRUV6ec//7l+9atfhQwxEi0ySFDHuld1wglW2QknWOUOI8jA4PA7bOB4amtr1bat8S+rJV1Lq1ev1uWXX67XXnut0RiY/fv36/bbb9ff/vY3/zVbghYZJLTu3UOfO4wgA4NH3mHDZTp2jFm344oVK/TYY4/5pzo31bVk3peUlKTOnTtr0KBBQfd9++23mjFjhp588kk9//zz2rt3ryZNmqQBAwY0uo6vwWOjRQYJyRwveeiQVXbokFXu8OsEQQaAJ1x//fW6/vrrJUlvv/22Hn74Yf3mN7/RqFGjJBkr8+7cuVNHjx7VD3/4w0bdQ3V1dVqyZIk+//xzPf744+ratat69+6twsJC3XnnnUpPT9f8+fOVkpLi/5rKykrV1dX593EK1SJTW1urTz75REOHDo32jwBwRqgxlKzsCwDh+frrr7Vu3Trt3btXJ598shYuXKjTTz/df3/v3r3Vu3dvFRQUaN68eSotLdUTTzyhzz//XHl5eTp48KAuvfRS3XTTTUHXzczMVE5OjqZNm6YNGzZo5MiR/vvat2+vZ599Vq+99pqSk5O1Zs2akHXr0KGDFi1a1KgLC0D0Jfkatp16WGlpqdLT01VSUqK0tDSnq+NNLIiXECorK7V7925lZ2frhMABfC5WXl6ujmH+PlZVVam2tjbsr7OTF3/WQJBjW3M0yYYY0ZrXb1pkYGAdGbhcJGEkJSUlqKsIQPwhyMDAOjIAAA9KdroCAAAAkSLIwFBWZhzmCo6ScW6WAwASk/k6sH69VbZ+vWteH+hagoF1ZAAAoZivA4EbpPbt65rXB4IMAABoWlOTQVyyIB5dSwhmrtTq8zn+ywk0VF1drZqaGtXW1vqPtWvXqqamptEqvJL02muvSTK2NzBt2bJFJSUlkoyVe1evXu2/Ly8vT4888kij68yaNUt5eXlBZddee63/OkBcO/FE4+jVyyrr1csqdxgtMgA84x//+IemTZvm3yagrq5OFRUVeuCBB/T73/9eqamp+uKLL3Tuuef6v2bAgAGqrKzUnDlzdP/992vLli2aOHGiTjrpJEnS9u3btWvXLv/WB9XV1UHf8+jRo9qwYYNmzZoVVN6uXTulp6dLkvbu3auSkhINHDgwWg8dQBMIMgA8Y+jQodq4caM+/fRTnXfeeXriiSd0yy23qGvXrrrmmmvUpk0bzZw5U7///e9VU1Ojdu3a+b920qRJWrVqlU466SQ9+eSTuuyyyyRJkydPVkVFhVasWKELL7zQvx2BaeHChZo+fbpuvPFGFRcXK+nY4mDbtm3z7/dUWVmpnj17avHixbH5QQCxZA7oLSqyWmXy8lyz+zVdSwA8p2PHjurfv7+6d++uU045RVVVVTrjjDM0bNgwrV69WiNGjFCfPn00d+5c/9eMGDFCN954o//2tGnTVFpaKsnoevrHP/7R6Pv4fD699957GjVqlF599VXNmzdP77zzjlavXq2xY8dq3bp1mjt3rtasWUOIQfwyJ34EDjcIVeYQWmQAyOeTKiqc+d6pqcdfAb2hAQMG6Ec/+pHOPfdcHTp0SB06dNCPfvQjvfjii/7PmTdvnrKzs7Vt2zbNnz9fDzzwQFBYqaio8C+FnpycHHL7gKVLl2rVqlUqKipSRkaGli1bpjfffNPftTVixAgVFBRozJgxeuqpp8J/8IAXuHywL0EGgCoqnBuzF86WXu+++67uu+8+derUSR9//LG2bt2qgoIC/fKXv/R/zp/+9CeNGzdOkpSenq5+/frp0ksv1aJFi3Tqqae2uF61tbX68MMPNWHCBGUca0JPTk4OuQN24G0g7oT65xA48Nfhld/pWgLgGSNHjtTnn3+udevW6brrrtOHH36o++67T1OnTvV/zvvvv6+ugdtrSLrmmmt04403qlOnTv6ytm2bfx/3+uuv6/777/ePiTHdfPPNGjFihP948sknbXhkACJFiwwApaY6t0DnsV6aiFRXV+vmm28OKmvXrl2jAbuStGbNGo0dO1bvvPOOfD6fP8hUV1eHnLo9bNgwdevWrVF5qBYZIK6Z/xz27JEGDDDOt26VevZ0qkZBCDIAlJTkeDd3RNq3b6/27durpqbGX9ahQwf/eXV1tb777jutW7dOf//73zV58mRVV1erbdu2/jExXbp0UW1tbaNp16FCjGS0yKQGpK+CggLNnz/fzocFuIv5zyHwXUdqqmv+aRBkAHhe4IJ4ZkAxB/B+//vf1/Dhw/0L302ePFllZWXKycnR4sWL9cc//lEHDx7UJZdc0qLvRYsMEk5RkfHx4EGr7OBBK8g4PA2bIAPA89q1a6eZM2dqzZo1uuCCC/SXv/xFF198sc466yxJ0kknneSfai1JCxYs0H333aevv/5a06ZN0zPPPKOrr75ae/bsaXTtht1OtMgg4TQYcyZJGjLEOnd4sC9BBoCnbN68WW3atAkKJu3atVN9fb3ee+89PfbYY6qtrdXkyZN11VVXaeLEiTp06JA+/fRTSdJ7772nXr166dRTT9Wpp56qZ555Rvv379e+fft05MiRRoN7KysrVVdX5x93E6pFpra2Vp988omGDh0ag58AgEAEGQCe0q9fPz311FPq3LmzJGMcTE5Ojmpra/Xoo49KMmYkPf/885o8ebImTpyok08+WW+99ZZWrlypbt26BW1h8H//93+SjK0I7rzzTj322GNB3699+/Z69tln9dprryk5OVlr1qwJWa8OHTpo0aJFOvnkk6PwqAEHHThgfCwuDh7s26WLc3UKkOQLNVzfo0pLS5Wenq6SkhL/QlcAGqusrNTu3buVnZ0dciE4L9mxY4dOP/30kDOVGvL5fI1aXKItnn7WSHBFRVY304EDto6Nac3rNy0yADytT58+Lf7cWIcYANFHkAEAAMeXkeH4wN5QWNkXAAB4FkEGAAB4FkEGSGBxNNbftfgZA9FFkAESkDnDp+Gy/LCf+TNuyawqAOFjsC+QgNq2bavU1FQVFxerXbt2Sk7mPU001NfXq7i4WKmpqcfdbRtAZPjLAhJQUlKSTjnlFO3evVt79+51ujpxLTk5WT169GDqNxAlBBkgQbVv3169e/emeynK2rdvT4sXEEUEGSCBmTtEA4BX8TYBAAB4FkEGAAB4FkEGAAB4VlyNkTEXniotLXW4JgAAoKXM1+1IFpCMqyBz5MgRSVJWVpbDNQEAAOE6cuSI0tPTw/qaJF8crZ9dX1+vgoICderUSUeOHFFWVpby8/OVlpbmdNUSVmlpKc+DC/A8uAPPg3vwXLiD+Tzs27dPSUlJ6tatW9jLFcRVi0xycrK6d+8uSf7Fp9LS0vgldQGeB3fgeXAHngf34Llwh/T09IifBwb7AgAAzyLIAAAAz4rbIJOSkqJZs2YpJSXF6aokNJ4Hd+B5cAeeB/fguXAHO56HuBrsCwAAEkvctsgAAID4R5ABAACeRZABAACeRZBBTPh8PhUVFWnx4sVOVwVwjerqav3pT39yuhqAK0T69xC3QSY/P1/z58/X4sWL9eKLLzpdnYS1bt069ejRQ71799aFF16ouro6p6uUMNasWaOrr746qGzp0qV65ZVX9Ne//lX/+te/HKpZYgn1PIwdO1ZnnHGG+vXrpwULFjhUs8SRm5urcePGaciQIZowYYLKysok8fcQa009D639e4jbIPPII4/o5z//ucaPH6/TTz9dL7/8stNVSlgfffSRdu3apV27dmnixIlOVychLFu2TJs2bfL/o5Ck9evXq7q6WhMmTNCtt96q5557TvX19Q7WMv6Feh4k6ac//an/b+LTTz91qHaJobq6Wm+88YZee+01bdy4Ud/73vf0yCOP8PcQY009D1Lr/x7iMshs2bJF1dXV/m0Khg4dqjlz5jhcKyB2Ro0apZ/85CdBZc8884yGDRvmv92lSxe99dZbsa5aQgn1PCC29u/fr6lTp6pNmzaSjHf/X375JX8PMdbU82CHuAwyubm5yszM9N9u166d9u3bp9raWgdrlbhGjhypjIwM3Xjjjfruu++crk5C6NSpU6Oyhn8XmZmZys3NjWW1Ek6o50GS3nzzTXXr1k1nnHGGXn311RjXKrGcdtppysjI8N/esmWLRo4cyd9DjDX1PEit/3uIyyBTVFTUaJXANm3a6ODBgw7VKHGdddZZ2rhxowoKCpSdna1p06Y5XaWE1fDvIiUlRYWFhQ7WKHE9/PDDKigo0PLlyzVjxgxt377d6SolhEOHDmnz5s2aMmUKfw8OCnwepNb/PcRlkMnIyFBlZWVQWV1dnTp37uxQjRJX165dlZ6errZt22r27Nn65z//6XSVElbDv4uqqip17drVwRolrj59+kiS+vfvrxkzZmjVqlUO1yj+1dTU6I9//KPmzp2rdu3a8ffgkIbPg9T6v4e4DDLnn3++9u3b579dU1OjrKwstW3b1sFaITk5WdnZ2U5XI2E1/LsoLCzU4MGDHawRJOmUU05Rx44dna5GXKuvr9ecOXM0ffp0paWlSeLvwQmhnoeGIvl7iMsgc8455ygpKUnV1dWSjFkzU6dOdbhWiWnHjh3+8507d2rQoEEO1iax3XPPPUHvdAoLCzV69GgHa5SYDh48qG+//dZ/e/369TwPUfa73/1ON998s3/M0pIlS/h7cECo56GoqKjVfw9xu2lkfn6+li1bppNPPlmVlZW64447nK5SQvrpT38qSbrqqqtUU1OjyZMn+5sTET3FxcX605/+pPnz5+uvf/2rrrjiCknSggULlJycrMOHD2vEiBE6++yzHa5pfAv1PLz33nuaOXOmrrvuOn3/+9/X4MGDdd555zld1bi1YMECPfDAA+rSpYskY3HO4uJiFRQU8PcQQ009D4sWLWr130PcBhkAABD/4rJrCQAAJAaCDAAA8CyCDAAA8CyCDAAA8CyCDAAA8CyCDAAA8CyCDAAA8CyCDAAA8CyCDADXu/LKK8XanQBCIcgAiLmPP/5Y119/vbp06aIXX3xR9957ry666CJt2LCh0ef+85//1ObNm/Xxxx8HlX/++eeaOHGiUlNTtWTJEq1YsULz58/XHXfcof/+7/9WSUlJrB4OAAexRQEAR6xbt06TJ0/Wnj17JEm/+c1v9Morr2jnzp1Bn/f888+rpKRE+fn5+uMf/9jsNUzPPvusnn76aW3YsEGZmZnRfBgAHEaLDABXuOCCC1RYWNiovLq6Wj/+8Y/16quvqr6+vkXXmjp1qs477zzdf//9dlcTgMsQZAA4rqamRgsWLNCdd94ZVJ6bm6tzzjlHPXv2VLdu3fTBBx+0+JrXX3+9Xn75ZVVWVtpdXQAuQpAB4JiKigq98MIL6tu3r7KysvT4448H3b9q1SoVFRUpJydH/fr105IlS1p87ZNPPlk1NTU6fPiwzbUG4CZtna4AgMSVmpqqn/3sZ/L5fJo9e7b+8Ic/qH379pLkn6V0/fXXS5LOOeccDR06VHPmzFGbNm2Oe+1vvvlGqampysjIiN4DAOA4WmQAOO7WW29Vx44d9fTTT/vLPvroI51//vn+29nZ2erevbvWrl3bomu+/vrrGj9+vJKT+TcHxDP+wgE4Ljk5WY8//rgeeeQR7d27V5K0cuVKXXrppUGf9+Mf/7hR91J5eXmjQcBz5szRpk2b9Oijj0a34gAcR9cSgJjbvn27Vq5cqYKCAr3wwgsaP368rrjiCg0bNkyjR4/WjBkz9MEHH+ijjz7SRRddpHbt2mn37t0qLy/XkiVLdPHFF+vUU0/Vc889p4MHD2rcuHG67rrrVFVVpc8++0wpKSnauHEjU6+BBMA6MgBcxfyXlJSUpPr6erqGADSLIAMAADyLtzoAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCzCDIAAMCz/j96Y93ZEomLOwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为-0.4029166623358927,b的值为26.379013799460104\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home1/xiaojiaying/.local/lib/python3.10/site-packages/numpy/_core/_methods.py:53: RuntimeWarning: overflow encountered in reduce\n",
      "  return umr_sum(a, axis, dtype, out, keepdims, initial, where)\n",
      "/tmp/ipykernel_2357081/3131007106.py:12: RuntimeWarning: invalid value encountered in scalar subtract\n",
      "  w = w - w_gradient*learning_rate\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为nan,b的值为nan\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为0.38374912508299125,b的值为14.808350449353727\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为nan,b的值为nan\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w的值为-0.9331368647776739,b的值为34.2721408194587\n"
     ]
    }
   ],
   "source": [
    "def B_gradient_descent(x, y, w_init, b_init, learning_rate, cost_function, gradient_function, run_iter, p_iter=1000):\n",
    "  \n",
    "    c_hist = []\n",
    "    w_hist = []\n",
    "    b_hist = []\n",
    "    w = w_init\n",
    "    b = b_init\n",
    "\n",
    "    for i in range(run_iter):\n",
    "        w_gradient, b_gradient = gradient_function(x, y, w, b)\n",
    "    \n",
    "        w = w - w_gradient*learning_rate\n",
    "        b = b - b_gradient*learning_rate\n",
    "        cost = cost_function(x, y, w, b)\n",
    "    \n",
    "        w_hist.append(w)\n",
    "        b_hist.append(b)\n",
    "        c_hist.append(cost)\n",
    "\n",
    "       \n",
    "    return w, b, w_hist, b_hist, c_hist\n",
    "\n",
    "w_init = 0\n",
    "b_init = 0\n",
    "learning_rate = 1.0e-3\n",
    "run_iter = 20000\n",
    "\n",
    "df=pd.read_csv(\"boston.csv\")\n",
    "y = df[\"MEDV\"]\n",
    "\n",
    "for i in range(len(df.columns)-1):\n",
    "    X = df.iloc[:,i]\n",
    "    w_final, b_final, w_hist, b_hist, c_hist = B_gradient_descent(X, y, w_init, b_init, learning_rate, compute_cost, compute_gradient, run_iter)\n",
    "    y_pred = w_final * X +b_final\n",
    "    \n",
    "    plt.scatter(X,y,marker=\"+\",label='真实值',color=\"red\")\n",
    "    plt.plot(X,y_pred,label='预测值',color='blue')\n",
    "    plt.title(df.columns[i])\n",
    "    plt.xlabel(df.columns[i])\n",
    "    plt.ylabel(\"MEDV\")\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "    print(f\"w的值为{w_final},b的值为{b_final}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "079818e9-99bd-4c91-b1ea-e9541de7caac",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
